We present a method to design an initial state in a quantum antenna in order to shape the emitted field higher-order correlation functions at will. This method is based on quantum state reconstruction techniques and relies on an entanglement of the emitters. We show that even the simplest antenna arrangements such as linear dipole arrays can exhibit a large variability in the emitted field-correlation function patterns, including, e.g., the generation of highly codirectional and contradirectional correlated twin photons, as well as multiphoton entangled states. Moreover, we identify a class of initial states that lead to a complete suppression of the field in the far-field zone. We also demonstrate the possibility to use a modified semiclassical approach for designing quantum antennas, simplifying the antenna state inference task. Our approach can find applications in the development of future quantum optics devices and methods, such as quantum sources for superresolution quantum imaging, high-precision sensing, as well as emitter-field interfaces for quantum information processing systems.